Question

Rewrite without absolute value for the given conditions, y=|x−5|+|x+5|, if x>5

Answer 1

y=2x when x>5

Explanation:

y=|x−5|+|x+5|

If x > 5 then x-5 is greater than 0 so we can remove the absolute value bars from the first term

x>5 then x+5 >0 so we do not need the absolute value bars on the second term

y = x-5 + x+5

Combine like terms

y = x+x-5+5

y = 2x